The figure below shows two objects connected to each other by a light cord that passes over a pulley with negligible friction. The object of mass m1 = 5.90 kg lies on a horizontal table with negligible friction, while the object of mass m2 = 11.8 kg hangs vertically. (a) What is the magnitude of the acceleration of each object (in m/s2)? (Here, a1 is the acceleration of m1,and a2is the acceleration of m2.) a1 =     m/s2 a2 =     m/s2   (b )What is the tension in the cord (in N)? N

In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that 0₁ = 36.0°, 0₂ = 54.0°, 03 = 60.0°, m₁ = 6.00 kg, and m₂ = 9.00 kg. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) (b) T₁ = T₂ = T3 = T₁ T₂ = T3 = T₁ m₂ 0₁ T₁ 03 Ts N N N zzz N N N 22 T3 8₂ T₂ m₂ i

4.3 kg A 4.3 kg object hangs at one end of a rope that is attached to a support on a railroad boxcar. When the car accelerates to the right, the rope makes an angle of 37° with the vertical. The acceleration of gravity is 9.8 m/s² . Find the acceleration of the car. Answer in units of m/s². (

Consider two blocks connected . Block A has mass 2.00 kg, and block B has mass 5.00 kg. The table on which B sits is frictionless, the cord connecting the blocks is light and flexible, and the pulley is light and frictionless. The horizontal force F S has magnitude F = 20.0 N, and block B moves to the left with an acceleration of 1.50 m/s2. What is the tension in the cord that connects the two blocks?

The figure below shows two blocks connected to each other by a light cable that passes over a pulley with negligible friction. The block of mass m₁ = 3.10 kg lies on a horizontal table with negligible friction, while the block of mass m₂ = 10.4 kg hangs vertically. m₁ 2₁ = a₂ = (a) What is the magnitude of the acceleration of each block (in m/s²)? (Here, a, is the acceleration of m₂, and an is the acceleration of m₂.) m/s² m/s² Ⓡ (b) What is the tension in the cable (in N)?

The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.1 kg; block 2 has mass m2 = 2.1 kg. What are (a) the magnitude of the blocks' acceleration and (b) the tension in the cord? (a) Number i Units (b) Number i Units >

A block with mass mA = 10.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mB = 5.0 kg which hangs vertically. Determine the magnitude of the acceleration of the system. Express your answer to two significant figures and include the appropriate units.